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Necessary conditions for a mathematical programming problem with set and cone constraints

Published online by Cambridge University Press:  17 February 2009

Youji Nagahisa
Youji Nagahisa
Affiliation:
Department of Mathematics, Faculty of Education, Yamaguchi University, Yosida, Yamaguchi, 753, Japan
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Abstract

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This paper is devoted to the derivation of a necessary condition of F. John type which must be satisfied by a solution of a mathematical programming problem with set and cone constraints. The necessary condition is applied to an optimisation problem defined on functional spaces with inequality state constraints. Furthermore a pseudo open mapping theorem is developed in the course of proving the main theorem.

Type
Research Article
Information
The ANZIAM Journal , Volume 29 , Issue 3 , January 1988 , pp. 310 - 321
Copyright
Copyright © Australian Mathematical Society 1988

References

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